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Category: Heat and Theromdynamics

A-small-body-with-temperature-and-absorbtivity-is-placed-in-a-large-evaluated-capacity-whose-interior-walls-are-at-a-temperature-w-when-w-is-small-show-that-the-rate-of-heat-tra

Question Number 58286 by Umar last updated on 21/Apr/19 $$\mathrm{A}\:\mathrm{small}\:\mathrm{body}\:\mathrm{with}\:\mathrm{temperature}\:\theta\:\mathrm{and} \\ $$$$\mathrm{absorbtivity}\:\tau\:\mathrm{is}\:\mathrm{placed}\:\mathrm{in}\:\mathrm{a}\:\mathrm{large}\: \\ $$$$\mathrm{evaluated}\:\mathrm{capacity}\:\mathrm{whose}\:\mathrm{interior}\: \\ $$$$\mathrm{walls}\:\mathrm{are}\:\mathrm{at}\:\mathrm{a}\:\mathrm{temperature}\:\theta_{\mathrm{w}} . \\ $$$$\mathrm{when}\:\:\:\:\theta_{\mathrm{w}} −\theta\:\:\:\:\mathrm{is}\:\:\mathrm{small},\:\mathrm{show}\:\mathrm{that}\:\mathrm{the} \\ $$$$\mathrm{rate}\:\mathrm{of}\:\mathrm{heat}\:\mathrm{transfer}\:\mathrm{by}\:\mathrm{radiation}\:\mathrm{is} \\ $$$$\:\:\:\:\:\overset{\bullet} {\mathrm{Q}}=\:\mathrm{4}\theta_{\mathrm{w}}…

The-molar-heat-capacity-of-a-metal-at-low-temperature-varies-with-the-temperature-according-to-the-equation-C-b-a-H-3-where-a-b-and-H-are-constant-How-much-heat-per-mole-is-transfe

Question Number 58216 by Umar last updated on 20/Apr/19 $$\mathrm{The}\:\mathrm{molar}\:\mathrm{heat}\:\mathrm{capacity}\:\mathrm{of}\:\mathrm{a}\:\mathrm{metal}\:\:\mathrm{at} \\ $$$$\mathrm{low}\:\mathrm{temperature}\:\mathrm{varies}\:\mathrm{with}\:\mathrm{the}\: \\ $$$$\mathrm{temperature}\:\mathrm{according}\:\mathrm{to}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\:\:\:\:\:\:\:\mathrm{C}\:=\:\mathrm{b}\theta\:+\:\frac{\mathrm{a}}{\mathrm{H}}\theta^{\mathrm{3}} \\ $$$$\mathrm{where}\:\mathrm{a},\:\mathrm{b}\:\mathrm{and}\:\mathrm{H}\:\mathrm{are}\:\mathrm{constant}. \\ $$$$\mathrm{How}\:\mathrm{much}\:\mathrm{heat}\:\mathrm{per}\:\mathrm{mole}\:\mathrm{is}\:\mathrm{transfered} \\ $$$$\mathrm{during}\:\mathrm{the}\:\mathrm{process}\:\mathrm{in}\:\mathrm{which}\:\mathrm{the}\: \\ $$$$\mathrm{temperature}\:\mathrm{change}\:\mathrm{from}\:\mathrm{0}.\mathrm{01H}\: \\…

The-molar-heat-capacity-of-constant-presure-of-a-gas-varies-with-the-temperature-according-to-the-equation-C-p-a-b-C-2-where-a-b-and-C-are-constants-How-much-heat-is-transfer

Question Number 58196 by Umar last updated on 19/Apr/19 $$\mathrm{The}\:\mathrm{molar}\:\mathrm{heat}\:\mathrm{capacity}\:\mathrm{of}\:\mathrm{constant} \\ $$$$\mathrm{presure}\:\mathrm{of}\:\mathrm{a}\:\mathrm{gas}\:\mathrm{varies}\:\mathrm{with}\:\mathrm{the}\:\mathrm{temperature} \\ $$$$\mathrm{according}\:\mathrm{to}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\:\:\:\:\:\:\:\:\:\:\mathrm{C}_{\mathrm{p}} \:=\:\:\mathrm{a}\:+\:\mathrm{b}\theta\:−\frac{\mathrm{C}}{\theta^{\mathrm{2}} } \\ $$$$\mathrm{where}\:\mathrm{a},\mathrm{b}\:\mathrm{and}\:\mathrm{C}\:\mathrm{are}\:\mathrm{constants}. \\ $$$$\:\:\mathrm{How}\:\mathrm{much}\:\mathrm{heat}\:\mathrm{is}\:\mathrm{transfered}\:\mathrm{during} \\ $$$$\:\:\:\mathrm{an}\:\mathrm{isobaric}\:\mathrm{process}\:\mathrm{in}\:\mathrm{which}\:\mathrm{n}\:\mathrm{mole} \\…

Question-54584

Question Number 54584 by peter frank last updated on 07/Feb/19 Answered by tanmay.chaudhury50@gmail.com last updated on 07/Feb/19 $${trying} \\ $$$${t}_{{echo}\:{from}\:{bottom}} =\frac{\mathrm{2}\left(\mathrm{200}\right)}{{v}_{{sound}\:{inair}} }+\frac{\mathrm{2}{h}}{{v}_{{sound}\:{in}\:{water}} } \\ $$$${t}_{{echo}\:{from}\:{surface}}…

Two-carnot-emgines-A-and-B-are-operated-in-series-engine-A-receiepved-heat-from-a-reservoir-at-600-K-and-rejects-it-to-a-reservoir-at-temp-T-B-receives-heat-rejected-by-A-and-in-turn-rejects-it-to-r

Question Number 52324 by prakash jain last updated on 06/Jan/19 $$\mathrm{Two}\:\mathrm{carnot}\:\mathrm{emgines}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:\mathrm{are}\:\mathrm{operated}\:\mathrm{in} \\ $$$$\mathrm{series}.\:\mathrm{engine}\:\mathrm{A}\:\mathrm{receiepved}\:\mathrm{heat}?\mathrm{from} \\ $$$$\mathrm{a}\:\mathrm{reservoir}\:\mathrm{at}\:\mathrm{600}\:\mathrm{K}\:\mathrm{and}\:\mathrm{rejects}\:\mathrm{it}\:\mathrm{to} \\ $$$$\mathrm{a}\:\mathrm{reservoir}\:\mathrm{at}\:\mathrm{temp}\:\mathrm{T}.\:\mathrm{B}\:\mathrm{receives} \\ $$$$\mathrm{heat}\:\mathrm{rejected}\:\mathrm{by}\:\mathrm{A}\:\mathrm{and}\:\mathrm{in}\:\mathrm{turn}\:\mathrm{rejects} \\ $$$$\mathrm{it}\:\mathrm{to}\:\mathrm{reservoir}\:\mathrm{at}\:\mathrm{100K}. \\ $$$$\mathrm{Find}\:\frac{\eta_{{B}} }{\eta_{{A}} }…

Two-hot-cubes-are-at-same-temperature-and-both-are-cooled-by-forced-convetion-the-cube-are-made-from-the-same-material-but-one-has-side-of-L-metre-and-other-one-2L-metre-which-cube-is-at-quicker-

Question Number 51148 by peter frank last updated on 24/Dec/18 $${Two}\:{hot}\:{cubes}\:{are}\:\:{at}\:{same}\: \\ $$$${temperature}\:{and} \\ $$$${both}\:{are}\:{cooled}\:{by}\:{forced}\: \\ $$$${convetion}\:{the}\:{cube}\:{are}\:{made} \\ $$$${from}\:{the}\:{same}\:{material} \\ $$$${but}\:{one}\:{has}\:{side}\:{of}\:{L}\:{metre} \\ $$$${and}\:{other}\:{one}\:\mathrm{2}{L}\:{metre}. \\ $$$${which}\:{cube}\:{is}\:{at}\:{quicker}\:…

Two-similar-spherical-bodies-of-radius-R-and-2R-are-initially-are-at-same-temperature-if-they-are-kept-to-cool-under-the-same-condition-show-qualitatively-which-of-the-two-spherical-body-will-cool-

Question Number 51098 by peter frank last updated on 24/Dec/18 $${Two}\:{similar}\:{spherical} \\ $$$${bodies}\:{of}\:{radius}\:{R}\:{and}\:\mathrm{2}{R} \\ $$$${are}\:{initially}\:{are}\:{at}\:{same}\: \\ $$$${temperature}.{if}\:{they}\:\:{are} \\ $$$${kept}\:{to}\:{cool}\:{under}\:{the}\:{same} \\ $$$${condition}.{show}\:{qualitatively} \\ $$$${which}\:{of}\:\:{the}\:{two}\:{spherical} \\ $$$${body}\:{will}\:{cool}\:{faster}.…

Question-50808

Question Number 50808 by Tinkutara last updated on 20/Dec/18 Answered by tanmay.chaudhury50@gmail.com last updated on 21/Dec/18 $${at}\:{temparature}\:{t}\:{M}.{I}\:{is} \\ $$$${I}=\frac{\mathrm{1}}{\mathrm{2}}\left(\pi{R}^{\mathrm{2}} {h}\rho\right){R}^{\mathrm{2}} \:\:\:+{Md}^{\mathrm{2}} \:{at}\:{temparature}\:{t} \\ $$$${d}={distance}\:{between}\:{axis}\:{of}\:{cylinder}\:{and}\:{axis} \\…